A Comparison of the Two-Sided Laplace Transform and the Mellin Transform.

Abstract

The reals with addition and the positive reals with multiplication are isomorphic as groups. From that point of view, the two-sided Laplace transform and the Mellin transform are different representations of the same transform. This allows us to easily derive the properties of the Mellin transform from the properties of the two-sided Laplace transform. The method extends to functions of several variables as well.

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Document Details

Document Type
Technical Report
Publication Date
Dec 13, 1996
Accession Number
ADA319175

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  • Gloria L. Porter

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  • Air Force Institute of Technology

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  • Abstracts
  • Classification
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  • Convergence
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  • Integral Transforms
  • Integrals
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  • Mathematics

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